2015/05/28 by Nikrooz Heidari, Heidari, Nikrooz, Abbas Heydari +1
Mathematics · #53B35 #53C55 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:53B35 #msc:53C55
paper · pdf · doi:10.48550/arxiv.1505.07561
13 pages
arxiv created 2015/05/28 · openalex publication_date 2015/05/28 · arxiv updated 2015/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the foliation space of complex and invariant (by torsion of intrinsic Hermitian connection) umbilic distribution on an isometric immersion from a nearly Kähler manifold M into the Euclidean space. Under suitable conditions this leaf space is nearly Kähler and M can be decomposed into a product of this leaf space and a 6-dimensional locally homogeneous nearly Kähler manifold.